Highest Common Factor of 8477, 7378 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8477, 7378 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 8477, 7378 is 7 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8477, 7378 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8477, 7378 is 7.
HCF(8477, 7378) = 7
HCF of 8477, 7378 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8477, 7378 is 7.
Highest Common Factor of 8477,7378 is 7
Step 1: Since 8477 > 7378, we apply the division lemma to 8477 and 7378, to get
8477 = 7378 x 1 + 1099
Step 2: Since the reminder 7378 ≠ 0, we apply division lemma to 1099 and 7378, to get
7378 = 1099 x 6 + 784
Step 3: We consider the new divisor 1099 and the new remainder 784, and apply the division lemma to get
1099 = 784 x 1 + 315
We consider the new divisor 784 and the new remainder 315,and apply the division lemma to get
784 = 315 x 2 + 154
We consider the new divisor 315 and the new remainder 154,and apply the division lemma to get
315 = 154 x 2 + 7
We consider the new divisor 154 and the new remainder 7,and apply the division lemma to get
154 = 7 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8477 and 7378 is 7
Notice that 7 = HCF(154,7) = HCF(315,154) = HCF(784,315) = HCF(1099,784) = HCF(7378,1099) = HCF(8477,7378) .
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Frequently Asked Questions on HCF of 8477, 7378 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8477, 7378?
Answer: HCF of 8477, 7378 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8477, 7378 using Euclid's Algorithm?
Answer: For arbitrary numbers 8477, 7378 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.